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Finding the Third Proportional to 4,721,291,853.75 and 9,776,860,066.13

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Solution

The third proportional to 4,721,291,853.75 and 9,776,860,066.13 is: 20,245,940,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721,291,853.75 : 9,776,860,066.13 = 9,776,860,066.13 : x
  2. Step 2: Convert to fraction form
    4,721,291,853.75/9,776,860,066.13 = 9,776,860,066.13/x
  3. Step 3: Cross multiply
    4,721,291,853.75x = 9,776,860,066.13 × 9,776,860,066.13
  4. Step 4: Simplify right side
    4,721,291,853.75x = 95,586,992,752,589,733,888
  5. Step 5: Solve for x
    x = 95,586,992,752,589,733,888/4,721,291,853.75
  6. Step 6: Final answer
    x = 20,245,940,245.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.